Integrals of groups
J Araújo, PJ Cameron, C Casolo, F Matucci - Israel Journal of Mathematics, 2019 - Springer
An integral of a group G is a group H whose derived group (commutator subgroup) is
isomorphic to G. This paper discusses integrals of groups, and in particular questions about …
isomorphic to G. This paper discusses integrals of groups, and in particular questions about …
Completely realizable groups
G Fasolă, M Tărnăuceanu - Journal of Algebra and Its Applications, 2024 - World Scientific
Given a construction f on groups, we say that a group G is f-realisable if there is a group H
such that G≅ f (H), and completely f-realisable if there is a group H such that G≅ f (H) and …
such that G≅ f (H), and completely f-realisable if there is a group H such that G≅ f (H) and …
On groups occurring as absolute centers of finite groups
G Fasolă, M Tărnăuceanu - Communications in Algebra, 2024 - Taylor & Francis
Given a construction f on groups, we say that a group G is f-realisable if there is a group H
such that G≅ f (H), and completely f-realisable if there is a group H such that G≅ f (H) and …
such that G≅ f (H), and completely f-realisable if there is a group H such that G≅ f (H) and …
On some questions related to integrable groups
A group G is integrable if it is isomorphic to the derived subgroup of a group H; that is, if
H′≃ G, and in this case H is an integral of G. If G is a subgroup of U, we say that G is …
H′≃ G, and in this case H is an integral of G. If G is a subgroup of U, we say that G is …
[PDF][PDF] Canonical Map of Integrable Semigroup of Irregular Closed Planes
MA Babayo, GU Garbab - researchgate.net
Define the map 𝜃:∮ 𝑓𝑑𝑟→∮ 𝑓 𝑑𝑟 𝑖∮ 𝑓𝑑𝑟 𝑛𝑖 𝑖 by 𝜃 (|∑ 𝑓 (𝜉𝑖)(𝑥𝑖− 𝑥𝑖− 1)−∮ 𝑓𝑑𝑟
𝑖|< 𝜀)=|∑ 𝑓 (𝜉𝑛𝑖)(𝑥𝑛𝑖− 𝑥𝑛 (𝑖− 1))−∮ 𝑓𝑑𝑟 𝑛𝑖|< 𝜀, where∮ is 𝑖 the integral of …
𝑖|< 𝜀)=|∑ 𝑓 (𝜉𝑛𝑖)(𝑥𝑛𝑖− 𝑥𝑛 (𝑖− 1))−∮ 𝑓𝑑𝑟 𝑛𝑖|< 𝜀, where∮ is 𝑖 the integral of …